Applying the distance formula, DE = a. Therefore, the missing information is: A. a.
<h3>What is the Distance Formula?</h3>
Distance Formula for determining the distance between two points on a coordinate plane is given as:
.
In the proof given, applying the distance formula to find DE, we have:
DE = √[(a + b - b)² + (c - c)²}
Simplifying this, we would have:
DE = √(a² + 0²) = √(a²)
DE = a
Therefore, the missing information in the proof is: A. a.
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(3,2)
(-2,4)
that makes both equations
16=16
2=2
I hope this is what you were looking for
I wrote my decision on a piece of paper.
Answer:
Step-by-step explanation:
First I want to set up some variables.
S = sum
n = final term
ax = xth term, so a1 is the first term and an is the last one
d = common difference.
There are two formulas to find the sum, if you don't get how they were gotten I'd be happy to explain.
S = (n/2)(a1+an) = (n/2)(2a1+(n-1)d)
So, to find n we use the first one.
S = (n/2)(a1+an)
123 = (n/2)(8+33)
123 = (n/2)41
3 = n/2
6 = n
Now we can find d with the other one
S = (n/2)(2a1+(n-1)d)
123 = (6/2)(2*8+(6-1)d)
123 = 3(16+5d)
41 = 16+5d
25 = 5d
5 = d
so there are six terms and the common difference is 5.
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